(and maaaaybe Dehuai, but don't respect that initiative so much, Dehuai is average speed).
On the other hand FFX First Strike is insanely badass, more like a "turn 0" they get in addition, so I'd see Tidus and Auron as basically beating out everything, myself.
These are exactly the same types of initiative.
To explain my view: FFX First Strike is "I get a turn 0 before you do" - if Tidus is faster than an opponent he insta-doubles. Dehuai's initiative is a more standard "On, turn 1 is now first;" he's shifting his turn to be first here rather than its normal slot. According to the stat topic (If I'm reading it right, at least!) Dehuai gets insta-doubled afterward, so basically I'd see that as "Dehuai is below average speed, but his turn 1 is accelerated." That would perfectly explain Dehuai T1->YuriT1->YuriT2->DehuaiT2.
So, in the same way, I'd disagree about Dehuai beating out any defensive moves. Aika & Dehuai both have a Turn 1 move, just Aika's is a defensive move that beats anything offensive. (I'd also see Delta Shield vs. Lost Progress as being... debateable? I certainly don't see Lost Progress as stopping, say, Silent Lake or Pokemon Weather. I also don't see it stopping something like Ramsus's counter-stance or Vyse's Skull Shield. Delta Shield does affect only 1 side, but it's also kind of a field effect too. Mushy. Can totally see judgment calling against DS, though, not sure myself.)
Re Light vs. Heavy, was pointed out in chat, but even if you do see Dehuai's init beating Jane's, Jane might well evade Dehuai's Stone since it's attached to his physical and Jane dodge is decent.
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Idly - I wonder how Godlike would do without Tidus? Tidus is really broken in this format. Light goes back to an interp call of a race between Jane and TimeLord, Middle is still an easy Godlike win, but Heavy... Heavy's got some major spoiling going on and is much larger. Dehuai is stoning fast Godlikes with MT like DQ8 Jessica, Belial probably has to kill Jeremy first, Nina1 is doing her protection nonsense... it'd be close. (And if Tidus was still in Heavy rather than gone, I think Heavy wins rather cleanly.)
A few other notable duelers:
Marona - Sadly Marona is kind of out of her depth here despite full power Marona beating every other dueler in the league (Unless you see Belial > her initiative.). Sure, Ash and his 14 Werewolf friends all have initiative along with Marona, but I think they're all ST, meaning they get buried by every division thereafter. Heck, even if Marona beats out Jane in init, she's probably not surviving the return strike... don't recall PB having any true MT, so the other options don't really help either.
Minato - Kinda screwed as well? Not a P3 expert, but Persona 3 has no speed stat so I'd see Jane as winning the tiebreak for Light. Delta Shield screws over Minato's mega-damage to Middle. Godlike... assuming Minato even beats out TimeLord after getting Delay Bustered, Souji would Enduring Soul his nuke anyway and kill him? Heavy I'm less sure on, it probably involves Pokemon using Protect which lets Pamela revive on turn 2, and Minato has no SP left, but tentatively that'd still be a Heavy win.
Any other uber godlikes out there that are at least worth thinking about, even if they too get swept?